English

Non-duality in three dimensions

High Energy Physics - Theory 2017-10-25 v2

Abstract

We investigate M-theory and heterotic compactifications to 7 and 3 dimensions. In 7 dimensions we discuss a class of massive supergravities that arise from M-theory on K3 and point out obstructions to realizing these theories in a dual heterotic framework with a geometric description. Taking M-theory further down to 3 dimensions on K3xK3 with a choice of flux leads to a rich landscape of theories with various amounts of supersymmetry, including those preserving 6 supercharges. We explore possible heterotic realizations of these vacua and prove a no--go theorem: every heterotic geometry that preserves 6 supercharges preserves 8 supercharges.

Keywords

Cite

@article{arxiv.1702.08537,
  title  = {Non-duality in three dimensions},
  author = {Ilarion V. Melnikov and Ruben Minasian and Savdeep Sethi},
  journal= {arXiv preprint arXiv:1702.08537},
  year   = {2017}
}

Comments

31 pages; v2: added appendix B with details on flux for N=3, D=3 M-theory vacua

R2 v1 2026-06-22T18:30:05.822Z